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Finding the Third Proportional to 62,388 and 96,783

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Solution

The third proportional to 62,388 and 96,783 is: 150,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,388 : 96,783 = 96,783 : x
  2. Step 2: Convert to fraction form
    62,388/96,783 = 96,783/x
  3. Step 3: Cross multiply
    62,388x = 96,783 × 96,783
  4. Step 4: Simplify right side
    62,388x = 9,366,949,089
  5. Step 5: Solve for x
    x = 9,366,949,089/62,388
  6. Step 6: Final answer
    x = 150,140.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.